{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-09-21T07:30:30.027917Z",
     "start_time": "2025-09-21T07:30:29.502017Z"
    }
   },
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "# 设置中文显示\n",
    "plt.rcParams[\"font.family\"] = [\"SimHei\", \"WenQuanYi Micro Hei\", \"Heiti TC\"]\n",
    "plt.rcParams[\"axes.unicode_minus\"] = False  # 解决负号显示问题\n",
    "\n",
    "class CurveFitting:\n",
    "    def __init__(self):\n",
    "        # 生成随机种子，保证结果可复现\n",
    "        np.random.seed(42)\n",
    "\n",
    "    def generate_data(self, n_samples=100, noise_level=0.1):\n",
    "        \"\"\"生成带噪声的样本数据\"\"\"\n",
    "        # 生成x值，范围在[0, 10]\n",
    "        X = np.linspace(0, 10, n_samples).reshape(-1, 1)\n",
    "\n",
    "        # 生成真实的y值（非线性函数）\n",
    "        # 这里使用了一个复杂的多项式函数作为真实模型\n",
    "        y_true = np.sin(X).ravel() + X.ravel() * np.exp(-X.ravel() / 5) + 2\n",
    "\n",
    "        # 添加高斯噪声\n",
    "        noise = np.random.normal(0, noise_level, size=y_true.shape)\n",
    "        y_noisy = y_true + noise\n",
    "\n",
    "        return X, y_true, y_noisy\n",
    "\n",
    "    def fit_curve(self, X, y, degree=3):\n",
    "        \"\"\"使用多项式特征和线性回归进行曲线拟合\"\"\"\n",
    "        # 创建多项式特征转换器\n",
    "        poly_features = PolynomialFeatures(degree=degree, include_bias=False)\n",
    "\n",
    "        # 将X转换为多项式特征\n",
    "        X_poly = poly_features.fit_transform(X)\n",
    "\n",
    "        # 创建线性回归模型并拟合数据\n",
    "        model = LinearRegression()\n",
    "        model.fit(X_poly, y)\n",
    "\n",
    "        # 生成用于绘制拟合曲线的密集x值\n",
    "        X_plot = np.linspace(0, 10, 1000).reshape(-1, 1)\n",
    "        X_plot_poly = poly_features.transform(X_plot)\n",
    "\n",
    "        # 预测拟合曲线的值\n",
    "        y_pred = model.predict(X_plot_poly)\n",
    "\n",
    "        # 计算在原始数据上的预测值，用于评估模型\n",
    "        y_train_pred = model.predict(X_poly)\n",
    "        mse = mean_squared_error(y, y_train_pred)\n",
    "\n",
    "        return model, X_plot, y_pred, mse\n",
    "\n",
    "    def plot_results(self, X, y_true, y_noisy, X_plot, y_pred, degree, mse):\n",
    "        \"\"\"绘制原始数据、真实曲线和拟合曲线\"\"\"\n",
    "        plt.figure(figsize=(10, 6))\n",
    "\n",
    "        # 绘制带噪声的数据点\n",
    "        plt.scatter(X, y_noisy, color='blue', alpha=0.5, label='带噪声的数据点')\n",
    "\n",
    "        # 绘制真实曲线\n",
    "        plt.plot(X, y_true, color='green', linewidth=2, label='真实曲线')\n",
    "\n",
    "        # 绘制拟合曲线\n",
    "        plt.plot(X_plot, y_pred, color='red', linewidth=2, label=f'{degree}次多项式拟合曲线')\n",
    "\n",
    "        # 添加标题和标签\n",
    "        plt.title(f'曲线拟合示例 (MSE: {mse:.4f})')\n",
    "        plt.xlabel('X轴')\n",
    "        plt.ylabel('Y轴')\n",
    "        plt.legend()\n",
    "        plt.grid(True, linestyle='--', alpha=0.7)\n",
    "\n",
    "        # 调整布局并显示图形\n",
    "        plt.tight_layout()\n",
    "        plt.show()\n",
    "\n",
    "    def run_example(self, degree=3, n_samples=100, noise_level=0.1):\n",
    "        \"\"\"运行完整的曲线拟合示例\"\"\"\n",
    "        # 生成数据\n",
    "        X, y_true, y_noisy = self.generate_data(n_samples, noise_level)\n",
    "\n",
    "        # 拟合曲线\n",
    "        model, X_plot, y_pred, mse = self.fit_curve(X, y_noisy, degree)\n",
    "\n",
    "        # 绘制结果\n",
    "        self.plot_results(X, y_true, y_noisy, X_plot, y_pred, degree, mse)\n",
    "\n",
    "        # 打印拟合模型的系数\n",
    "        print(f'拟合模型的系数: {model.coef_}')\n",
    "        print(f'拟合模型的截距: {model.intercept_}')\n",
    "        print(f'均方误差 (MSE): {mse:.4f}')\n",
    "\n",
    "if __name__ == \"__main__\":\n",
    "    # 创建曲线拟合实例\n",
    "    curve_fitter = CurveFitting()\n",
    "\n",
    "    # 运行示例，默认使用3次多项式拟合\n",
    "    # curve_fitter.run_example(degree=3)\n",
    "\n",
    "    # 可选：尝试不同次数的多项式拟合，观察拟合效果\n",
    "    # curve_fitter.run_example(degree=5)\n",
    "    curve_fitter.run_example(degree=10)\n"
   ],
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
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    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "拟合模型的系数: [ 2.51406161e+00 -1.49594375e+00  9.74240274e-01 -4.73317860e-01\n",
      "  1.12928036e-01 -1.06937698e-02 -3.18190575e-04  1.48106564e-04\n",
      " -1.11997689e-05  2.85618003e-07]\n",
      "拟合模型的截距: 2.009842194845104\n",
      "均方误差 (MSE): 0.0073\n"
     ]
    }
   ],
   "execution_count": 4
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
